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In an efficient stock market, the returns and their time-dependent volatility are often jointly modeled by stochastic volatility models (SVMs). Over the last few decades several SVMs have been proposed to adequately capture the defining…

Applications · Statistics 2017-03-21 Sujay Mukhoti , Pritam Ranjan

Scaling visual generation models is essential for real-world content creation, yet requires substantial training and computational expenses. Alternatively, test-time scaling has garnered growing attention due to resource efficiency and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Zhekai Chen , Ruihang Chu , Yukang Chen , Shiwei Zhang , Yujie Wei , Yingya Zhang , Xihui Liu

Value at Risk (VaR) is a quantitative measure used to evaluate the risk linked to the potential loss of investment or capital. Estimation of the VaR entails the quantification of prospective losses in a portfolio of investments, using a…

Mathematical Finance · Quantitative Finance 2024-10-01 Minglian Lin , Indranil SenGupta , William Wilson

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis

Event Studies (ES) are statistical tools that assess whether a particular event of interest has caused changes in the level of one or more relevant time series. We are interested in ES applied to multivariate time series characterized by…

Applications · Statistics 2025-01-09 Paolo Maranzano , Matteo Maria Pelagatti

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

Optimization and Control · Mathematics 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

This paper addresses the challenges of giving a causal interpretation to vector autoregressions (VARs). I show that under independence assumptions VARs can identify average treatment effects, average causal responses, or a mix of the two,…

Econometrics · Economics 2025-10-29 Raimondo Pala

Risk forecasts in financial regulation and internal management are calculated through historical data. The unknown structural changes of financial data poses a substantial challenge in selecting an appropriate look-back window for risk…

Risk Management · Quantitative Finance 2026-03-03 Yinhuan Li , Chenxin Lyu , Ruodu Wang

We present the conditional value-at-risk (CVaR) in the context of Markov chains and Markov decision processes with reachability and mean-payoff objectives. CVaR quantifies risk by means of the expectation of the worst p-quantile. As such it…

Logic in Computer Science · Computer Science 2018-05-09 Jan Křetínský , Tobias Meggendorfer

Value-at-Risk (VaR) is an institutional measure of risk favored by financial regulators. VaR may be interpreted as a quantile of future portfolio values conditional on the information available, where the most common quantile used is 95%.…

Risk Management · Quantitative Finance 2016-05-18 Khizar Qureshi

The modeling and identification of time series data with a long memory are important in various fields. The streamflow discharge is one such example that can be reasonably described as an aggregated stochastic process of randomized affine…

Methodology · Statistics 2023-12-27 Hidekazu Yoshioka , Yumi Yoshioka

Risk measure forecast and model have been developed in order to not only provide better forecast but also preserve its (empirical) property especially coherent property. Whilst the widely used risk measure of Value-at-Risk (VaR) has shown…

Risk Management · Quantitative Finance 2020-09-08 Bony Josaphat , Khreshna Syuhada

This research presents a framework for quantitative risk management in volatile markets, specifically focusing on expectile-based methodologies applied to the FTSE 100 index. Traditional risk measures such as Value-at-Risk (VaR) have…

Risk Management · Quantitative Finance 2025-07-21 Abiodun Finbarrs Oketunji

In practice, the value-at-risk (VaR) for a longer holding period is often scaled using the 'square root of time rule'. The VaR is determined for a shorter holding period and then scaled up according to the desired holding period. For…

Risk Management · Quantitative Finance 2022-05-05 Marita Kuhlmann

In this paper, based on theories of complex adaptive systems, I argue that the main case for antitrust policy should be extended to include the criteria of "evolvability." To date, the main case focuses on economizing, including market…

General Finance · Quantitative Finance 2012-03-07 Ian Wilkinson

This work is motivated by the ECMWF CAMS reanalysis data, a valuable resource for researchers in environmental-related areas, as they contain the most updated atmospheric composition information on a global scale. Unlike observational data…

Statistics Theory · Mathematics 2023-04-10 Xiaoqing Chen , Ross Bannister , Gavin Shaddick , James V. Zidek

This paper applies the Extreme-Value (EV) Generalised Pareto distribution to the extreme tails of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses tail estimators from these…

Risk Management · Quantitative Finance 2011-03-30 John Cotter , Kevin Dowd

Stochastic differential equations (SDEs) are popular tools to analyse time series data in many areas, such as mathematical finance, physics, and biology. They provide a mechanistic description of the phenomeon of interest, and their…

Methodology · Statistics 2021-02-01 Théo Michelot , Richard Glennie , Catriona Harris , Len Thomas

Early warning systems (EWSs) are critical for forecasting and preventing economic and financial crises. EWSs are designed to provide early warning signs of financial troubles, allowing policymakers and market participants to intervene…

General Finance · Quantitative Finance 2023-10-03 Ali Namaki , Reza Eyvazloo , Shahin Ramtinnia

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

Econometrics · Economics 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco